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Finding the Third Proportional to 332,619 and 729,621

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Solution

The third proportional to 332,619 and 729,621 is: 1,600,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,619 : 729,621 = 729,621 : x
  2. Step 2: Convert to fraction form
    332,619/729,621 = 729,621/x
  3. Step 3: Cross multiply
    332,619x = 729,621 × 729,621
  4. Step 4: Simplify right side
    332,619x = 532,346,803,641
  5. Step 5: Solve for x
    x = 532,346,803,641/332,619
  6. Step 6: Final answer
    x = 1,600,470.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.